the nth term of a sequence is 3n squared divided by 2 what is the second term of the sequence?

Answers

Answer 1

Answer:

6.

Step-by-step explanation:

f(n)=3n²/2

f(2)=3(2²)/2

f(2)=3(4)/2

f(2)=12/2

f(2)=6

Answer 2

The second term of the sequence 3n²/2 is 6.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, The nth term of a sequence is 3n²/2.

Let f(n) = 3n²/2.

Now, to obtain the second term of the sequence can be obtained by replacing n with 2.

∴ f(2) = 3(2)²/2.

f(2) = (3×4)/2.

f(2) = 12/2.

f(2) = 6.

learn more about sequences here :

https://brainly.com/question/21961097

#SPJ5


Related Questions

Sam is seven times as old as Tim.If Sam is 42 how old is Tim?

Answers

Answer:6 because 42/7=6

Step-by-step explanation:

PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)

A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8

Answers

Answer:

A

Step-by-step explanation:

y=x+1

=> put y=5

5=x+1

x=5-1

x= 4

(4,5)

same put y=9

so, x= 8

(8,9)

The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.

Answers

Answer:

Inequality 1) y≤110−x; shade down

Inequality 2) y≥80− -2/3x; shade up

Possible solution: (40,60)​

*The drama club could sell 40 student tickets and 60 adult tickets.

Step-by-step explanation:

Hope I helped ;)

Solution is image 1.

One possible solution is = (0, 100).

Given that:

x represents the number of student  tickets sold and

y represents the number of adult tickets sold.

According to the question:

[tex]x+y\le110\\7x+10.50y\ge840[/tex]

Using a graphing calculator the graph is: image 1.

One possible solution is = (0, 100).

Learn more: https://brainly.com/question/15816805

What is the slope line through (0,4) and (3,2)?

Answers

Answer:

The answer is -2/Trust

Step-by-step explanation:

Answer:

Its D 100%

Step-by-step explanation:

I don’t understand please help me

Answers

Answer:

Easy! Answer my question and I'll answer urs! Mine is simple tho. Go on my account and if you answer it I'll send you my reponse to the question. I've wrriten the steps and taken the picture on a paper so pls hurry.

Find the range of this function

Answers

{1,3, 4,5, 3,4 and 5,6} but I’m not sure.

What 98 x 8 divided by 2 and what is this game called

Answers

Answer:

392 and Overwatch I think

Step-by-step explanation:

Answer:

392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.

Step-by-step explanation:




£78 is split equally between 5 people how many will each person get

Answers

Answer:

15,6....................

Answer:

£15.6

Step-by-step explanation:

78/5=15.6

PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)

Answers

Answer:

Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.

Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?

Answers

Answer:

0 n=11

Step-by-step explanation:

1. Distribute

+1=4(−8)

2. Subtract 1 from both sides of the equation

+1=4−32

+1−1=4−32−1

3. Simplify

=4n−33

4. Subtract 4 from both sides of the equation

=4−33

−4=4−33−4

5. Simplify

−3=−33

6. Divide both sides of the equation by the same term

−3=−33

-3n/-3=-33/-3

7. Simplify

=11

solve for y on both i will give brainlizest thankssss & HURRY

2y+7x=4

6x=7-4y

Answers

Answer:

1- Y=-7/2x+2.

2. Y=-6/4+7

Step-by-step explanation:

Subtract 7x from both sides

Divide both sides by two

Add 4y to both sides

Subtract 6x from both sides

Divide by 4 on both sides

45 + 15(n − 1) for n = 6

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Plug in what you know so: 45+15(6-1)

So, following the order of operations, you do the parentheses first so: 45+15(5)

Then, still following the order of operations, you'd multiply from left to right. So: 45+75

Then, you add from left to right, so you get 45+75=120

Your answer is 120.

Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8

Answers

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

HELP QUICK!! Sales tax is 6% in Virginia for most items. How much would you have to pay at the
register for an item with a price tag of $12.99?

Answers

Answer:

$13.77

Step-by-step explanation:

12.99 x 0.06

0.7794

0.7794+12.99

13.7694

$13.77

I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute

Answers

The first triangle: x=25 and is a Acute angle

The second triangle: x=30 and is a right triangle

Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.

Answers

Answer:

10

Step-by-step explanation:

For movie mania:

Sign-up fee = $ 20

Rent for 1 DVD = $ 4.00

For Hurricane video:

Sign-up fee = 0

Rent of 1 DVD = $ 6.

Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.

For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=20+4n

For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=0+6n=6n

Now, for both stores to charge the same, both the charges must be equal, we have

6n=20+4n

[tex]\Rightarrow 6n-4n=20[/tex]

[tex]\Righatarroe 2n=20[/tex]

[tex]\Rightarrow n =20/2=10[/tex]

Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.

Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?

Answers

Answer:

I would say your answer is (D

Sara’s checking account is overdrawn with a balance of -$3.00. She deposits some money into her account so the new balance is $4.50.

Answers

Answer:

She put in $7.50

Step-by-step explanation:

7:50 ofc good luck with like and gave a nice question

HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Explanation, cone with it's height to the value.

Need help with the equations thank you

Answers

Step-by-step explanation:

#1

Equation 1 = 2-6 over 1-3

#2

Equation 1 = 1-4 over 2+3 Because instead of subtracting a negative you can write adding cause the double negative makes a positive

Help meee pleaseeeeeee :(

Answers

Answer:

I am pretty sure its D

Step-by-step explanation:

If u want to be sure tho search up the dilation scale factor on Google:)

if i’m not mistaken it’s b

Find the measure of x that would make m∥n.

Answers

Answer:

to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees

Find the gradient of the line segment between the points (10,-4) and (6,-16).

Answers

Answer:

The answer is 3

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(10,-4) and (6,-16)

We have

[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]

We have the final answer as

3

Hope this helps you

4. What is the slope of the line y = 3? (1 point)

Answers

Answer: Undefined or 0

Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined

Answer: 0

Explanation Since it's a straight line you can't determine the slope.

What is the solution to 0.2 (4x - 8) = 0.4(12-2x)

Answers

Answer:

x = 4

Step-by-step explanation:

Let's multiply both sides by 5 to get rid of the leading fractions.

5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)

(4x-8) = 2 (12-2x)

4x - 8 = 24 - 4x

8x = 32

x = 4

x = 4

In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.

Answers

Given:

Total score = 24 points

They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.

To find:

The system of equations for the given problem.

Solution:

Let x be the number of touchdowns.

y be the number of field goals.

z be the number of "extra points."

Total score is 24 points. So,

[tex]x+y+z=24[/tex]

They made 2 more touchdowns than field goals.

[tex]x=y+2[/tex]

They made 3 times as many "extra points" as field goals.

[tex]z=3y[/tex]

Therefore, the required system of equation is

[tex]x+y+z=24[/tex]

[tex]x=y+2[/tex]

[tex]z=3y[/tex]

A car uses 5 gallons of gasoline to travel 97.5 miles. At this rate, how many miles can the car travel using 13 gallons of gasoline?

Answers

Answer:

253.5 miles

Step-by-step explanation:

This problem can be solved by using the concept of "ratios" and "proportions."

Step 1: Check for the "known" and "unknown" variables.

The known variables are: 5 gallons, 97.5 miles and 13 gallons while the unknown variable is the "number of miles" the car can travel using 13 gallons.

Step 2: It's time to plug the values into the proportion.

            [tex]\frac{5 gallons}{97.5 miles}[/tex] = [tex]\frac{13 gallons}{x miles}[/tex]

Step 3: Solve the proportion.

            [tex]\frac{5}{97.5}[/tex] = [tex]\frac{13}{x}[/tex]  ⇒ 5x = 1,267.5 ⇒ x = 253.5 miles

Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g

Answers

Answer: k 2 + 3 g − 6

hope this helps

Mariah and Jakob have $35 to spend at the fair. Jakob takes a ride that costs $13 then takes another ride that costs more than the last ride. Mariah spends $10 on 3 cake pops. Then spends five more dollars on the photo booth with Jakob, only Mariah spends her money on the photo booth. How much does the other ride cost for Jakob. How much money does Mariah spend on the photo booth?

Answers

Answer:

The cost of the other ride Jacob took = $22

The amount Mariah spends on the photo boot with Jacob = $5

Step-by-step explanation:

The given information are;

Whereby the question states that amount Mariah and Jacob each have to spend = $35

The amount Jacob spends on the first ride = $13

The amount Mariah spends on the 3 cup cakes = $10

The amount Mariah spends on the photo boot with Jacob = $5

Let the cost of the other ride Jacob took = R

Given that Jakob spent all his available money at the fair, we have;

35 = 13 + R

R = 35 - 13

R = $22

Therefore, the cost of the other ride Jacob took = R = $22

The amount Mariah spends on the photo boot with Jacob = $5.

7/8 divided by (-13/7)

Answers

7/8/-13/7 = -0.4711 that’s the answer
Other Questions
Plz match them upCause: Rice exports dropped sharply; trade fell off when Great Britain closedthe West Indian market to Americans; the little bit of money available went topay foreign debt.Effect: _____2. Cause: American farmers could not pay the taxes levied by the states.Effect: _____3. Cause: Daniel Shays led Shays Rebellion, during which four rebels were killedby the state militia.Effect: _____4. Cause: Virginia passed a law that encouraged manumission.Effect: _____5. Cause: George Washington agreed to travel to the Constitutional Convention.Effect: _____6. Cause: The proceedings of the convention were kept secret.Effect: _____7. Cause: In the Virginia Plan, the number of representatives in the legislature would correspondto a states population.Effect: _____8. Cause: Southern states refused to abolish slavery.Effect: _____9. Cause: The Constitution did not contain a bill of rights.Effect: _____10. Cause: The Articles of Confederation had required unanimous approval of the states, a slowand frustrating process.Effect: _____A. The states free African Americanpopulation grew rapidly.B. The approval process for theConstitution was nine of the thirteenstates.C. State officials seized farmers land topay the farmers debts.D. The meeting took on a highersignificance.E. Elbridge Gerry and George Masonwould not sign the constitution.F. Congress agreed not to interfere withthe slave trade for twenty years.G. Some delegates rallied around WilliamPatersons proposal for a one-houseCongress with equal representation.H. A depression occured.I. Delegates could speak freely andchange their minds.J. Americans worried whether thegovernment could control unrest andprevent violence. how many atoms are in CaCI2 how many atoms in a sugar cube 12x + 7 < -11OR5.2 8 > 40 please help! i would appreciate it! A young man living in England during the early 17th century decides that he does not agree with some teachings of the Anglican Church. He joins a group of people who share his beliefs and opinions. While they support the king, they do not believe that a monarch should be the head of the Church in England. Other Protestants believe that this young man and his friends are dangerous "radicals" and should be silenced. What was this sect of Protestants called?Pilgrims what happens to the molecules as water freezes PLS HELP THIS IS DO TODAY Consider the element sodium. It's atomic number is __________ and equals ___________. Answer the following questions in complete sentences please, giving brainliest 1. Explain 2 motivations for US imperialism2. What were the causes of the Spanish American War?3. What territories did we gain from the Spanish American War? How did it change America's role in the world? At a petting zoo, there are 2 chickens, 4 deer, 3 donkeys, and 6 goats. What is the ratio of goats to the total number of animals written in simplest form Choose the words or phrases that correctly complete the sentence. Two boys are holding onto the ends of a long piece of string, and they move it up and down to make a wave. They begin to move the string faster and faster. When they move the string, the energy (remains the same / increases / decreases) and the frequency (decreases / increases / remains the same). Group of answer choices increases, increases remains the same, remains the same decreases, decreases increases, decreases Helppp me plssss! ASAP Define reflection of sound? how many number of subsets in set D Does each ecosystem havethe samelimiting factors? Which treaty signed after World War One did hitler despise and is described as a guillotine that will destroy Germany A car travels at a velocity of 80 m/s, accelerates than stops in 250 second. What is the acceleration of the truck? (Ill give brainliest please someone help me on this and explain it with work I dont get it) I need help with 9and 10 pleas What technology was outlawed by most countries following World War I?A) Chemical warfareB) TanksC) Submarine warfareD) Zepplins 12A. 25 B. 23 Which one?